On Hilbert's Integral Inequality
โ Scribed by Yang Bicheng
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 116 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
In this paper we obtain a new class of multivariable integral inequalities of Hilbert type. By specializing the upper estimate functions in the hypothesis and the parameters, we obtain many special cases, which include, in particular, the integral inequalities derived recently by Pachpatte.
By introducing three parameters A, B, and , we give some generalizations of Hilbert's integral inequality and its equivalent form with the best constant factors. We also consider their associated double series forms.
In this paper, the weight coefficient of the form y n r 2 n q 1 with ลฝ . . n ) 0 is introduced. Improvements on Hilbert's inequality and the Hardyแ Littlewood inequality are established, and these results are extended. แฎ 1997